Finite temperature symmetry restoration in the U_L(3)xU_R(3) linear sigma model from a large-n approximation

TL;DR

This paper investigates the finite temperature behavior of the U_L(3)xU_R(3) linear sigma model using a large-n approximation, focusing on symmetry restoration, phase transitions, and the phase diagram.

Contribution

It applies a large-n approximation to analyze finite temperature symmetry restoration and phase transitions in the U_L(3)xU_R(3) linear sigma model, mapping the phase diagram.

Findings

Identification of a fluctuation-induced first order transition region.

Mapping of the second order boundary in the phase diagram.

Conjecture of a tricritical point in the model.

Abstract

A recently proposed approximate large-n ground state solution of the U_L(n)xU_R(n) symmetric linear sigma model is investigated at finite temperature. We study the coupled evaporation of two condensates corresponding to the symmetry breaking pattern U_L(3)xU_R(3) -> U_V(2), realized by the ground state in certain parts of the coupling space. The region of the fluctuation induced first order transitions and its second order boundary is mapped out. The existence of a tricritical point is conjectured.